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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Structured question: find f^-1(x) and verify it"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Solving a surd equation with terms on both sides

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Distinguishing rational and irrational numbers

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Simplifying a fraction with a surd numerator

I am in SS 1. Teach me simplifying a fraction where the numerator contains a surd, such as

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Rationalising the denominator when it's a surd minus a surd

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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A full WAEC-style surds past question

I am in SS 1. Quiz me with 3 short Additional Maths questions on a complete WAEC/Cambridge

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Disjoint sets and what they mean

I am in SS 1. Teach me what it means for two sets to be disjoint, giving an example and dr

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Interpreting neither-nor in a Venn diagram problem

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Common mistakes with set notation

Quiz me with 4 short Additional Maths questions on the most common set notation mistakes S

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Recognising arithmetic vs geometric sequences

I am in SS 1. Teach me how to tell from a list of numbers whether a sequence is arithmetic

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Word problem: arithmetic sequence in a savings context

I am in SS 1. Teach me a real-life word problem modelled by an arithmetic sequence, such a

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Deriving the arithmetic series sum formula

I am in SS 1. Quiz me with 4 short Additional Maths questions on how the formula Sn = n/2

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WAEC-style past question on geometric progressions

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Multi-part progression problem with an unknown first term

I am in SS 1. Quiz me with 5 short Additional Maths questions on a multi-part question whe

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Explaining why sum to infinity only works for |r| < 1

I am in SS 1. Quiz me with 5 short Additional Maths questions on explaining, using a numer

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Sketching a straight line from its equation

I am in SS 1. Teach me sketching the graph of a straight line given its equation, correctl

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Coordinate geometry exam question: quadrilateral vertices

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Explaining gradient, midpoint and distance formulas in my own words

I am in SS 1. Quiz me with 4 short Additional Maths questions on the three core coordinate

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WAEC-style past question on coordinate geometry

I am in SS 1. I'm going to explain a complete WAEC Further Mathematics past-paper style co

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Distinguishing gradient sign: positive, negative, zero, undefined

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Solving a double inequality

I am in SS 1. Quiz me with 5 short Additional Maths questions on solving a double inequali

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